TSTP Solution File: NUM292+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM292+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:24:47 EDT 2023

% Result   : Theorem 0.12s 0.37s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUM292+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 09:53:21 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 0.12/0.37  % Refutation found
% 0.12/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.37  % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37  fof(f3,axiom,(
% 0.12/0.37    rdn_translate(n2,rdn_pos(rdnn(n2))) ),
% 0.12/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37  fof(f14,axiom,(
% 0.12/0.37    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))) ),
% 0.12/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37  fof(f257,axiom,(
% 0.12/0.37    rdn_non_zero_digit(rdnn(n1)) ),
% 0.12/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37  fof(f278,axiom,(
% 0.12/0.37    (! [D,Db,Ob] :( rdn_non_zero(Ob)=> rdn_positive_less(rdnn(D),rdn(rdnn(Db),Ob)) ) )),
% 0.12/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37  fof(f279,axiom,(
% 0.12/0.37    (! [X] :( rdn_non_zero_digit(rdnn(X))=> rdn_non_zero(rdnn(X)) ) )),
% 0.12/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37  fof(f281,axiom,(
% 0.12/0.37    (! [X,Y,RDN_X,RDN_Y] :( ( rdn_translate(X,rdn_pos(RDN_X))& rdn_translate(Y,rdn_pos(RDN_Y))& rdn_positive_less(RDN_X,RDN_Y) )=> less(X,Y) ) )),
% 0.12/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37  fof(f402,conjecture,(
% 0.12/0.37    less(n2,n13) ),
% 0.12/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37  fof(f403,negated_conjecture,(
% 0.12/0.37    ~(less(n2,n13) )),
% 0.12/0.37    inference(negated_conjecture,[status(cth)],[f402])).
% 0.12/0.37  fof(f406,plain,(
% 0.12/0.37    rdn_translate(n2,rdn_pos(rdnn(n2)))),
% 0.12/0.37    inference(cnf_transformation,[status(esa)],[f3])).
% 0.12/0.37  fof(f417,plain,(
% 0.12/0.37    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1))))),
% 0.12/0.37    inference(cnf_transformation,[status(esa)],[f14])).
% 0.12/0.37  fof(f660,plain,(
% 0.12/0.37    rdn_non_zero_digit(rdnn(n1))),
% 0.12/0.37    inference(cnf_transformation,[status(esa)],[f257])).
% 0.12/0.37  fof(f686,plain,(
% 0.12/0.37    ![D,Db,Ob]: (~rdn_non_zero(Ob)|rdn_positive_less(rdnn(D),rdn(rdnn(Db),Ob)))),
% 0.12/0.37    inference(pre_NNF_transformation,[status(esa)],[f278])).
% 0.12/0.37  fof(f687,plain,(
% 0.12/0.37    ![Ob]: (~rdn_non_zero(Ob)|(![D,Db]: rdn_positive_less(rdnn(D),rdn(rdnn(Db),Ob))))),
% 0.12/0.37    inference(miniscoping,[status(esa)],[f686])).
% 0.12/0.37  fof(f688,plain,(
% 0.12/0.37    ![X0,X1,X2]: (~rdn_non_zero(X0)|rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X0)))),
% 0.12/0.37    inference(cnf_transformation,[status(esa)],[f687])).
% 0.12/0.37  fof(f689,plain,(
% 0.12/0.37    ![X]: (~rdn_non_zero_digit(rdnn(X))|rdn_non_zero(rdnn(X)))),
% 0.12/0.37    inference(pre_NNF_transformation,[status(esa)],[f279])).
% 0.12/0.37  fof(f690,plain,(
% 0.12/0.37    ![X0]: (~rdn_non_zero_digit(rdnn(X0))|rdn_non_zero(rdnn(X0)))),
% 0.12/0.37    inference(cnf_transformation,[status(esa)],[f689])).
% 0.12/0.37  fof(f694,plain,(
% 0.12/0.37    ![X,Y,RDN_X,RDN_Y]: (((~rdn_translate(X,rdn_pos(RDN_X))|~rdn_translate(Y,rdn_pos(RDN_Y)))|~rdn_positive_less(RDN_X,RDN_Y))|less(X,Y))),
% 0.12/0.37    inference(pre_NNF_transformation,[status(esa)],[f281])).
% 0.12/0.37  fof(f695,plain,(
% 0.12/0.37    ![X,Y]: ((![RDN_X,RDN_Y]: ((~rdn_translate(X,rdn_pos(RDN_X))|~rdn_translate(Y,rdn_pos(RDN_Y)))|~rdn_positive_less(RDN_X,RDN_Y)))|less(X,Y))),
% 0.12/0.37    inference(miniscoping,[status(esa)],[f694])).
% 0.12/0.37  fof(f696,plain,(
% 0.12/0.37    ![X0,X1,X2,X3]: (~rdn_translate(X0,rdn_pos(X1))|~rdn_translate(X2,rdn_pos(X3))|~rdn_positive_less(X1,X3)|less(X0,X2))),
% 0.12/0.37    inference(cnf_transformation,[status(esa)],[f695])).
% 0.12/0.37  fof(f861,plain,(
% 0.12/0.37    ~less(n2,n13)),
% 0.12/0.37    inference(cnf_transformation,[status(esa)],[f403])).
% 0.12/0.37  fof(f870,plain,(
% 0.12/0.37    ![X0,X1]: (~rdn_translate(X0,rdn_pos(X1))|~rdn_positive_less(X1,rdn(rdnn(n3),rdnn(n1)))|less(X0,n13))),
% 0.12/0.37    inference(resolution,[status(thm)],[f696,f417])).
% 0.12/0.37  fof(f1298,plain,(
% 0.12/0.37    spl0_35 <=> rdn_non_zero(rdnn(n1))),
% 0.12/0.37    introduced(split_symbol_definition)).
% 0.12/0.37  fof(f1300,plain,(
% 0.12/0.37    ~rdn_non_zero(rdnn(n1))|spl0_35),
% 0.12/0.37    inference(component_clause,[status(thm)],[f1298])).
% 0.12/0.37  fof(f1326,plain,(
% 0.12/0.37    spl0_41 <=> ~rdn_translate(X0,rdn_pos(rdnn(X1)))|less(X0,n13)),
% 0.12/0.37    introduced(split_symbol_definition)).
% 0.12/0.37  fof(f1327,plain,(
% 0.12/0.37    ![X0,X1]: (~rdn_translate(X0,rdn_pos(rdnn(X1)))|less(X0,n13)|~spl0_41)),
% 0.12/0.37    inference(component_clause,[status(thm)],[f1326])).
% 0.12/0.37  fof(f1329,plain,(
% 0.12/0.37    ![X0,X1]: (~rdn_non_zero(rdnn(n1))|~rdn_translate(X0,rdn_pos(rdnn(X1)))|less(X0,n13))),
% 0.12/0.37    inference(resolution,[status(thm)],[f688,f870])).
% 0.12/0.37  fof(f1330,plain,(
% 0.12/0.37    ~spl0_35|spl0_41),
% 0.12/0.37    inference(split_clause,[status(thm)],[f1329,f1298,f1326])).
% 0.12/0.37  fof(f1335,plain,(
% 0.12/0.37    ~rdn_non_zero_digit(rdnn(n1))|spl0_35),
% 0.12/0.37    inference(resolution,[status(thm)],[f1300,f690])).
% 0.12/0.37  fof(f1336,plain,(
% 0.12/0.37    $false|spl0_35),
% 0.12/0.37    inference(forward_subsumption_resolution,[status(thm)],[f1335,f660])).
% 0.12/0.37  fof(f1337,plain,(
% 0.12/0.37    spl0_35),
% 0.12/0.37    inference(contradiction_clause,[status(thm)],[f1336])).
% 0.12/0.37  fof(f1353,plain,(
% 0.12/0.37    ![X0]: (~rdn_translate(n2,rdn_pos(rdnn(X0)))|~spl0_41)),
% 0.12/0.37    inference(resolution,[status(thm)],[f1327,f861])).
% 0.12/0.37  fof(f1356,plain,(
% 0.12/0.37    $false|~spl0_41),
% 0.12/0.37    inference(backward_subsumption_resolution,[status(thm)],[f406,f1353])).
% 0.12/0.37  fof(f1357,plain,(
% 0.12/0.37    ~spl0_41),
% 0.12/0.37    inference(contradiction_clause,[status(thm)],[f1356])).
% 0.12/0.37  fof(f1358,plain,(
% 0.12/0.37    $false),
% 0.12/0.37    inference(sat_refutation,[status(thm)],[f1330,f1337,f1357])).
% 0.12/0.37  % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39  % Elapsed time: 0.042114 seconds
% 0.12/0.39  % CPU time: 0.130860 seconds
% 0.12/0.39  % Memory used: 22.852 MB
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